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Pàgina inicial > Articles > Articles publicats > The co-circular central configurations of the 5 body problem |
Data: | 2015 |
Resum: | Chenciner in 2001 asked: Is the regular n-gon with equal masses the unique central configuration such that all the bodies lie on a circle, and the center of mass coincides with the center of the circle? This question has a positive answer for n = 3. Hampton in 2003 proved that also this question has a positive answer for n = 4. Here we provide a positive answer for n = 5. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999 |
Nota: | Agraïments: UNAB13-4E-1604. The second author is supported by Portuguese national funds through FCT - Fundação para a Ciência e a Tecnologia: project PEst-OE/EEI/LA0009/2013 (CAMGSD). |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | 5-body problem ; Central configuration ; Co-circular central configuration ; Regular n-gon |
Publicat a: | Journal of dynamics and differential equations, Vol. 27 (2015) , p. 55-67, ISSN 1572-9222 |
Postprint 13 p, 611.4 KB |